Product of Statistical Manifolds with Doubly Warped Product

In this paper, we generalize the dualistic structures on warped product manifolds to the dualistic structures on doubly warped product. We extend some results related to the dualistic structure on doubly warped product studied in [8]. We also demonstrate that a dualistic structure on a doubly warped product manifold (M sub 1 /sub x M sub 1 /sub , g sub f1f2 /sub ) induces dualistic structures on the manifolds M1 and M2 and conversely, in this case doubly warped product manifold (M sub 1 /sub x M sub 1 /sub , g sub f1f2 /sub ) is a statistical manifold if and only if (M sub 1 /sub , g¹) and (M¹,g¹) are.